What is the Least Common Multiple of 29484 and 29499?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 29484 and 29499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29484 and 29499, than apply into the LCM equation.

GCF(29484,29499) = 3
LCM(29484,29499) = ( 29484 × 29499) / 3
LCM(29484,29499) = 869748516 / 3
LCM(29484,29499) = 289916172

Least Common Multiple (LCM) of 29484 and 29499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29484 and 29499. First we will calculate the prime factors of 29484 and 29499.

Prime Factorization of 29484

Prime Factorization of 29499

Now multiplying the highest exponent prime factors to calculate the LCM of 29484 and 29499.

LCM(29484,29499) = 2² × 3⁴ × 7¹ × 13¹ × 9833¹
LCM(29484,29499) = 289916172